Global solutions and self-similar solutions of semilinear wave equation

Francis Ribaud (1) , A Youssfi

1 LAMA - Laboratoire d'Analyse et de Mathématiques Appliquées

We prove existence, uniqueness and regularity results for the global solutions of the semilinear wave equations. In particular, we show existence of regular self-similar solutions. Also, we build some finite-energy asymptotically self-similar solutions.

Domaines: Physique mathématique [math-ph]

Francis Ribaud, A Youssfi. Global solutions and self-similar solutions of semilinear wave equation. Mathematische Zeitschrift, 2002, 239 (2), pp.231--262. ⟨10.1007/s002090100293⟩. ⟨hal-00693620⟩